The correct answer to this open question is the following.
Although there are no options attached we can say the following.
In what ways did the expansion of maritime empires create global trade systems that increased the political influence of various states?
In that, the expansion of political influence allowed the European monarchies during medieval times to increase their power and economy by exploiting the many raw materials and natural resources of their colonies.
That is why these powerful European monarchies such as Spain, France, Britain, and Portugal, invested so much in navigation and exploration. The more territories they located and conquer, the better options to exploit those raw materials to increase the wealth of the monarchies.
This also allowed to open new and many trade routes along the Atlantic Ocean and the Pacific Ocean. These nations transported people, goods, and diseases to the Americas.